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Evaluate the determinants in(i) |(costhe...

Evaluate the determinants in(i) `|(costheta,-sintheta),(sintheta,costheta)|` (ii) `|(x^2-x+1,x-1),(x+1,x+1)|`

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To evaluate the given determinants, we will follow the standard formula for a 2x2 determinant. The determinant of a matrix \[ \begin{pmatrix} a & b \\ c & d \end{pmatrix} \] ...
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